In this paper a theorem is developed giving necessary and sufficient conditions for the uniqueness of homogeneous product Cournot equilibria. The result appears to be the strongest to date and the first to involve both necessity and sufficiency. The theorem states than an equilibrium is unique if and only if the determinant of the Jacobian of marginal profits for firms producing positive output is positive at all equilibria. The result applies to the case where profit functions are twice differentiable and pseudoconcave, industry output can be bounded, the above Jacobian is non-singular at equilibria, and marginal profits are strictly negative for non-producing firms. The proof uses fixed point index theory from differential topology.

This paper concerns the problem of properly specifying the dynamic structure of models of industry costs and factor demands. The paper compares three common frameworks: long-run costs with all factors assumed in equilibrium (Full Static Equilibrium), short-run costs with variable factors in short-run equilibrium (Partial Static Equilibrium) followed by computation of long-run costs, and short-run costs including internal capital adjustment costs (Partial Dynamic Equilibrium). The approach of the paper is to estimate a capital-labor-fuel-electricity model for six OECD countries (G7 less Italy) for the 1960-1989 period. Using the three different 'dynamic' specifications, we obtain substantially different results in terms of factor demand, cross-price effects and technical change. The implication is that proper dynamic specification is critical. The Partial Dynamic Equilibrium model appears to behave most consistently across the cross-section.

This paper examines the empirical validity of a model of homogeneous input demand under price uncertainty in which firms trade off expected input cost against its variability (risk) in selecting the optimal input supplier mix. Using recent work in time-series econometrics, this model is applied to the Japanese steam-coal import market, where five suppliers compete: China, the Soviet Union, South Africa, the United States, and Australia.

Markets for many products are dominated by small group of states or countries with a natural advantage in the marketplace because of some initial endowment of resources, favorable climate, or location. The purpose of this paper is to explore how such markets involving a few political jurisdictions interact noncooperatively. We examine how such a market might be structured and operate and the extent of monopoly rent that can be extracted in the absence of collusion. We answer these questions for an empirically estimated model of western U.S. coal in which two states (Montana and Wyoming) dominate production. We demonstrate that in this market the amount of rent that can be extracted is greatly reduced through competition (relative to a cartel). Nevertheless, even with two producing states competing against each other, significant rents can be captured--significant enough to refute the contention that little rent can accrue without a cartel.

Markets for many products are dominated by small group of states or countries with a natural advantage in the marketplace because of some initial endowment of resources, favorable climate, or location. The purpose of this paper is to explore how such markets involving a few political jurisdictions interact noncooperatively. We examine how such a market might be structured and operate and the extent of monopoly rent that can be extracted in the absence of collusion. We answer these questions for an empirically estimated model of western U.S. coal in which two states (Montana and Wyoming) dominate production. We demonstrate that in this market the amount of rent that can be extracted is greatly reduced through competition (relative to a cartel). Nevertheless, even with two producing states competing against each other, significant rents can be captured--significant enough to refute the contention that little rent can accrue without a cartel.

The paper is concerned with developing a production theory for the case when some inputs have nonlinear prices because the price depends on endogenous quality. This involves extending the notion of a cost function to the case where nonlinear prices are parameters of costs. After developing the appropriate theory, we apply our results to the case of coal-fired electric power generation where fuel quality depends on sulfur and ash impurities. Environmental regulations induce a negative value on sulfur whereas ash impurities degrade performance and thus reduce production possibilities. A number of empirical results emerge, including significant rates of technological change that are sulfur and ash saving though capital using. This change may explain in part the recent drop in the price of sulfur allowances in the United States.

This paper concerns the regulation of hazardous economic activities. Economists have generally viewed ex ante regulations (safety standards, Pigouvian fees) that regulate an activity before an accident occurs as substitutes for ex post policies (exposure to tort liability) for correcting externalities. This paper shows that where there is uncertainty, there are inefficiencies associated with the exclusive use of negligence liability and that ex ante regulation can correct the inefficiencies. In such a case it is efficient to set the safety standard below the level of precaution that would be called for if the standard were used alone.

This paper analyzes the potential market power of western states in setting coal severance taxes and the emphasis placed by these states on the development of their coal resources vs. obtaining tax revenues. Three market structures are analyzed. One involves a western regional cartel, setting taxes collectively. The other cases are noncooperative tax equilibria with Montana and Wyoming competing against each other. We conclude that the western states seem to be primarily concerned with revenue collection and are very efficient extractors of economic rent.